While last month's slump in the jobless rate came with strong increase in hiring, it also was helped along by a sharp decline in the labor force of 490,000. That brought the labor force participation rate down to 62.8%, exactly where it was a year ago.

A broader unemployment gauge that includes those who have quit looking for jobs as well as the underemployed held at 7.3%, where it has been since February.

Those counted as not in the labor force surged by 646,000 to a fresh high of 96.2 million.

"Leaving aside month-to-month fluctuations, the labor market is still very strong, adding almost double the number of workers needed to keep pace with new entrants to the labor force in any given month," said Eric Winograd, AllianceBernstein's senior economist. "Wages may have been slightly tepid this month relative to expectations but are still growing at just about the highest rate this cycle, and the unemployment rate is at multi-generational lows."

The level of unemployed people plunged by 387,000 in April, bringing the total level to 5.8 million. However, the ranks of the employed also declined by 103,000, according to the Labor Department's household survey.

This is what counts as an extremely bullish report these days... amazing.